What is The Math of Windfall Depletion?
Mathematical Foundation
Laws & Principles
- The Equilibrium Trap: If your monthly withdrawal exactly equals the monthly interest generated by the principal, the money lasts forever. But if you withdraw even $100 MORE than the interest generated, you start shrinking the principal. A smaller principal generates less interest next month, so the $100 shortfall becomes a $105 shortfall, accelerating exponential portfolio death.
- Inflation Erosion: This model calculates mathematical zero. It does not account for housing/food inflation. $2,500/mo buys a lot less in year 15 than it does in year 1. To be truly safe, your withdrawal rate should be significantly lower than the yield to allow the principal to grow with inflation.
- Sequence of Returns Risk: We assume a flat, guaranteed return. In the real stock market, withdrawing fixed cash during a brutal negative-return bear market permanently destroys shares, drastically shortening the runway.
Step-by-Step Example Walkthrough
" A 40-year-old inherits $500,000. They invest it in a conservative portfolio yielding 5% annually, and decide to quit their job and withdraw $2,500 every month. "
- Monthly Yield: At 5% APR, the $500,000 generates roughly $2,083 in interest the first month.
- The Shortfall: They withdraw $2,500. $2,083 comes from interest, and the remaining $417 is sold out of the $500k principal.
- The Spiral: Month 2 starts with a principal of $499,583. It generates slightly less interest. The $2,500 withdrawal eats a slightly larger chunk of the principal.